Numerical relativity is still on the road towards reliable simulations of astrophysical scenarios such as binary black hole mergers, binary neutron star mergers, and supernova core collapse, and the mathematically intriguing problem of critical collapse of rotating systems. Key problems are achieving long-term stability of evolutions. In the last few years significant progress has been made in clarifying the underlying mathematical (continuum) problem, and various efforts are under way to transfer these insights to the numerical (discretised) problem.

The meeting will focus on two areas: mathematical aspect of the continuum and discrete problems (well-posedness, gauge, boundary conditions, discretisation methods), and simulations at the edge of what is currently possible.